According to an embodiment, a sheet discharging device includes: a first conveying path configured to guide a sheet to be conveyed; a second conveying path branched from the first conveying path at a branch point of the first conveying path; a sorting section configured to sort a sheet being conveyed on the first conveying path into either a downstream side of the branch point on the first conveying path or the second conveying path; a first discharge tray configured to receive a sheet discharged from the first conveying path at a first sheet loading surface; and a second discharge tray placed below the first discharge tray and configured to receive a sheet discharged from the second conveying path at a second sheet loading surface whose distance to the first sheet loading surface increases toward a downstream side thereof in a sheet discharging direction.